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5 papers · 1 filter
Moser stability for locally conformally symplectic structures
G. Bande, D. Kotschick
We formulate and prove the analogue of Moser's stability theorem for locally conformally symplectic structures. As special cases we recover some results previously proved by Banyag…
Symplectic duality between complex domains
Antonio J. Di Scala, Andrea Loi, Fabio Zuddas
In this paper after extending the definition of symplectic duality (given by the first two authors in arXiv:math/0603141 for bounded symmetric domains) to arbitrary complex domains…
Symplectic maps of complex domains into complex space forms
Andrea Loi, Fabio Zuddas
Let $M\subset{\complex}^n$ be a complex domain of ${\complex}^n$ endowed with a rotation invariant \K form . In this paper we describe suffi…
The geometry of recursion operators
G. Bande, D. Kotschick
We study the fields of endomorphisms intertwining pairs of symplectic structures. Using these endomorphisms we prove an analogue of Moser's theorem for simultaneous isotopies of tw…
The geometry of symplectic pairs
G. Bande, D. Kotschick
We study the geometry of manifolds carrying symplectic pairs consisting of two closed 2-forms of constant ranks, whose kernel foliations are complementary. Using a variation of the…